\begin{tikzpicture}
    \tkzDefPoints{0/0/B, 3/0/C}

    % \tkzDefPointBy[rotation=center B angle  66](C)  \tkzGetPoint{a1}
    % \tkzDefPointBy[rotation=center C angle -54](B)  \tkzGetPoint{a2}
    % \tkzInterLL(B,a1)(C,a2)  \tkzGetPoint{A}
    \tkzDefTriangle[two angles=66 and 54](B,C)  \tkzGetPoint{A}

    \tkzDefLine[bisector](B,A,C)  \tkzGetPoint{d}
    \tkzInterLL(A,d)(B,C)         \tkzGetPoint{D}

    \tkzDrawPolygon(A,B,C)
    \tkzDrawSegments(A,D)
    \tkzMarkAngles[size=0.5](B,A,D)
    \tkzMarkAngles[size=0.6](D,A,C)
    \tkzLabelPoints[above](A)
    \tkzLabelPoints[below](B,C,D)
\end{tikzpicture}
